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arXiv · 1606.07190

Topologically protected pure helicity cascade in non-Abelian quantum turbulence

Michikazu Kobayashi·Masahito Ueda
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Abstract

By numerically studying non-Abelian quantum turbulence, we find that the helicity cascade and the inverse energy cascade are topologically protected against reconnection of vortices and lead to the energy spectrum $E(k) \propto k^{-7/3}$ for a large-scale energy injection and $E(k) \propto k^{-5/3}$ for a small-scale energy injection with a large-scale web of non-Abelian vortices. Our prediction can be tested in the cyclic phase of a spin-2 spinor Bose-Einstein condensate.

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Michikazu Kobayashi, Masahito Ueda. 2016-06-23. Topologically protected pure helicity cascade in non-Abelian quantum turbulence. https://arxiv.org/abs/1606.07190

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